What is the Greatest Common Factor of 11375 and 11389?

Greatest common factor (GCF) of 11375 and 11389 is 7.

GCF(11375,11389) = 7

We will now calculate the prime factors of 11375 and 11389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11375 and 11389.

How to find the GCF of 11375 and 11389?

We will first find the prime factorization of 11375 and 11389. After we will calculate the factors of 11375 and 11389 and find the biggest common factor number .

Step-1: Prime Factorization of 11375

Prime factors of 11375 are 5, 7, 13. Prime factorization of 11375 in exponential form is:

11375 = 5³ × 7¹ × 13¹

Step-2: Prime Factorization of 11389

Prime factors of 11389 are 7, 1627. Prime factorization of 11389 in exponential form is:

11389 = 7¹ × 1627¹

Step-3: Factors of 11375

List of positive integer factors of 11375 that divides 11375 without a remainder.

1, 5, 7, 13, 25, 35, 65, 91, 125, 175, 325, 455, 875, 1625, 2275

Step-4: Factors of 11389

List of positive integer factors of 11389 that divides 11375 without a remainder.

1, 7, 1627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11375 and 11389. The biggest common factor number is the GCF number.
So the greatest common factor 11375 and 11389 is 7.

Also check out the Least Common Multiple of 11375 and 11389